Closed Response Calculus for SLE Weldings and Weil--Petersson Kähler Geometry

Source abstract

For $0<κ\leq4$, we construct a closed response calculus for $\mathrm{SLE}_κ$ weldings and a canonical Dirichlet form. The divergence covariance combines the Weil--Petersson and Velling--Kirillov forms. The integrated response gives exact changes of measure and canonical Liouville--capacity increments on conformally removable weldings.